2x^2-29x-36= eching

$$2 x ^ { 2 } - 29 x - 36 =$$

Omil

$$2\left(x-\frac{29-\sqrt{1129}}{4}\right)\left(x-\frac{\sqrt{1129}+29}{4}\right)$$

Kvadrat tenglamalaridan foydalanish qoidalari

Kvadrat koʻp tenglama bu orqali hisoblanadi: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), bu yerda x_{1} va x_{2} ax^{2}+bx+c=0 kvadrat tenglamaning yechimlari.

$$2x^{2}-29x-36=0$$

ax^{2}+bx+c=0 shaklidagi barcha tenglamalarni kvadrat formulasi bilan yechish mumkin: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Kvadrat formula ikki yechmni taqdim qiladi, biri ± qo'shish bo'lganda, va ikkinchisi ayiruv bo'lganda.

$$x=\frac{-\left(-29\right)±\sqrt{\left(-29\right)^{2}-4\times 2\left(-36\right)}}{2\times 2}$$

-29 kvadratini chiqarish.

$$x=\frac{-\left(-29\right)±\sqrt{841-4\times 2\left(-36\right)}}{2\times 2}$$

-4 ni 2 marotabaga ko'paytirish.

$$x=\frac{-\left(-29\right)±\sqrt{841-8\left(-36\right)}}{2\times 2}$$

-8 ni -36 marotabaga ko'paytirish.

$$x=\frac{-\left(-29\right)±\sqrt{841+288}}{2\times 2}$$

841 ni 288 ga qo'shish.

$$x=\frac{-\left(-29\right)±\sqrt{1129}}{2\times 2}$$

-29 ning teskarisi 29 ga teng.

$$x=\frac{29±\sqrt{1129}}{2\times 2}$$

2 ni 2 marotabaga ko'paytirish.

$$x=\frac{29±\sqrt{1129}}{4}$$

x=\frac{29±\sqrt{1129}}{4} tenglamasini yeching, bunda ± musbat. 29 ni \sqrt{1129} ga qo'shish.

$$x=\frac{\sqrt{1129}+29}{4}$$

x=\frac{29±\sqrt{1129}}{4} tenglamasini yeching, bunda ± manfiy. 29 dan \sqrt{1129} ni ayirish.

$$x=\frac{29-\sqrt{1129}}{4}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{29+\sqrt{1129}}{4} ga va x_{2} uchun \frac{29-\sqrt{1129}}{4} ga bo‘ling.

$$2x^{2}-29x-36=2\left(x-\frac{\sqrt{1129}+29}{4}\right)\left(x-\frac{29-\sqrt{1129}}{4}\right)$$

Baholash

$$2x^{2}-29x-36$$